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The product of conductivity and resistivity of a conductor

June 1, 2025 by rawan239

The product of conductivity and resistivity of a conductor

depends on pressure applied

depends on current flowing through conductor

is the same for all conductors

varies from conductor to conductor

This question was previously asked in

UPSC NDA-1 – 2015

Download PDF Attempt Online

Resistivity ($\rho$) and conductivity ($\sigma$) are inverse properties of a material concerning its ability to conduct electricity.

By definition, conductivity is the reciprocal of resistivity ($\sigma = 1/\rho$). Therefore, the product of conductivity and resistivity is always equal to 1 ($\sigma \times \rho = (1/\rho) \times \rho = 1$). This relationship holds true for all materials, regardless of whether they are conductors, insulators, or semiconductors, and it is independent of the physical conditions like pressure or the current flowing through the conductor (assuming the material obeys Ohm’s Law).

Resistivity is a fundamental property of the material itself, like density or melting point. Conductivity is simply another way of expressing this property. Their product being 1 is a mathematical consequence of their definition relative to each other.

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